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Game Of Life Cellular Automata


Game Of Life Cellular Automata
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Game Of Life Cellular Automata


Game Of Life Cellular Automata
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Author : Andrew Adamatzky
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-06-14

Game Of Life Cellular Automata written by Andrew Adamatzky and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-14 with Computers categories.


In the late 1960s British mathematician John Conway invented a virtual mathematical machine that operates on a two-dimensional array of square cell. Each cell takes two states, live and dead. The cells’ states are updated simultaneously and in discrete time. A dead cell comes to life if it has exactly three live neighbours. A live cell remains alive if two or three of its neighbours are alive, otherwise the cell dies. Conway’s Game of Life became the most programmed solitary game and the most known cellular automaton. The book brings together results of forty years of study into computational, mathematical, physical and engineering aspects of The Game of Life cellular automata. Selected topics include phenomenology and statistical behaviour; space-time dynamics on Penrose tilling and hyperbolic spaces; generation of music; algebraic properties; modelling of financial markets; semi-quantum extensions; predicting emergence; dual-graph based analysis; fuzzy, limit behaviour and threshold scaling; evolving cell-state transition rules; localization dynamics in quasi-chemical analogues of GoL; self-organisation towards criticality; asynochrous implementations. The volume is unique because it gives a comprehensive presentation of the theoretical and experimental foundations, cutting-edge computation techniques and mathematical analysis of the fabulously complex, self-organized and emergent phenomena defined by incredibly simple rules.



Turing Machine Universality Of The Game Of Life


Turing Machine Universality Of The Game Of Life
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Author : Paul Rendell
language : en
Publisher: Springer
Release Date : 2015-07-21

Turing Machine Universality Of The Game Of Life written by Paul Rendell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-21 with Technology & Engineering categories.


This book presents a proof of universal computation in the Game of Life cellular automaton by using a Turing machine construction. It provides an introduction including background information and an extended review of the literature for Turing Machines, Counter Machines and the relevant patterns in Conway's Game of Life so that the subject matter is accessibly to non specialists. The book contains a description of the author’s Turing machine in Conway’s Game of Life including an unlimited storage tape provided by growing stack structures and it also presents a fast universal Turing machine designed to allow the working to be demonstrated in a convenient period of time.



The Recursive Universe


The Recursive Universe
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Author : William Poundstone
language : en
Publisher: Courier Corporation
Release Date : 2013-06-19

The Recursive Universe written by William Poundstone and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-19 with Science categories.


This fascinating popular science journey explores key concepts in information theory in terms of Conway's "Game of Life" program. The author explains the application of natural law to a random system and demonstrates the necessity of limits. Other topics include the limits of knowledge, paradox of complexity, Maxwell's demon, Big Bang theory, and much more. 1985 edition.



Conway S Game Of Life


Conway S Game Of Life
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Author : Nathaniel Johnston
language : en
Publisher: Nathaniel Johnston
Release Date : 2022-03-11

Conway S Game Of Life written by Nathaniel Johnston and has been published by Nathaniel Johnston this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-11 with Mathematics categories.


Dead cells with three live neighbors are born, while live cells with fewer than two or more than three live neighbors die. These simple rules define Conway's Game of Life, which exhibits complex and unpredictable behavior that has been studied for over 50 years. This book provides a thorough introduction to the Game of Life, the mathematics behind it, and the methods used to construct many of its most interesting patterns. It emphasizes conceptual techniques for constructing patterns that evolve in unusual ways, and guides the reader through the thought processes and ideas that are needed to combine various building blocks into more interesting composite patterns. While this book largely follows the history of the Game of Life, that is not its primary purpose. Rather, it is a by-product of the fact that most recently discovered patterns build upon patterns and techniques that were developed earlier. The goal of this book is to demystify the Game of Life by breaking down the complex patterns that have been developed in it into bite-size chunks that can be understood individually. Free (watermarked) PDF and associated pattern files available for download from conwaylife.com/book



Collision Based Computing


Collision Based Computing
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Author : Andrew Adamatzky
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-05-13

Collision Based Computing written by Andrew Adamatzky and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-05-13 with Computers categories.


Collision-Based Computing presents a unique overview of computation with mobile self-localized patterns in non-linear media, including computation in optical media, mathematical models of massively parallel computers, and molecular systems. It covers such diverse subjects as conservative computation in billiard ball models and its cellular-automaton analogues, implementation of computing devices in lattice gases, Conway's Game of Life and discrete excitable media, theory of particle machines, computation with solitons, logic of ballistic computing, phenomenology of computation, and self-replicating universal computers. Collision-Based Computing will be of interest to researchers working on relevant topics in Computing Science, Mathematical Physics and Engineering. It will also be useful background reading for postgraduate courses such as Optical Computing, Nature-Inspired Computing, Artificial Intelligence, Smart Engineering Systems, Complex and Adaptive Systems, Parallel Computation, Applied Mathematics and Computational Physics.



Designing Beauty The Art Of Cellular Automata


Designing Beauty The Art Of Cellular Automata
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Author : Andrew Adamatzky
language : en
Publisher: Springer
Release Date : 2016-01-05

Designing Beauty The Art Of Cellular Automata written by Andrew Adamatzky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-05 with Technology & Engineering categories.


This fascinating, colourful book offers in-depth insights and first-hand working experiences in the production of art works, using simple computational models with rich morphological behaviour, at the edge of mathematics, computer science, physics and biology. It organically combines ground breaking scientific discoveries in the theory of computation and complex systems with artistic representations of the research results. In this appealing book mathematicians, computer scientists, physicists, and engineers brought together marvelous and esoteric patterns generated by cellular automata, which are arrays of simple machines with complex behavior. Configurations produced by cellular automata uncover mechanics of dynamic patterns formation, their propagation and interaction in natural systems: heart pacemaker, bacterial membrane proteins, chemical rectors, water permeation in soil, compressed gas, cell division, population dynamics, reaction-diffusion media and self-organisation. The book inspires artists to take on cellular automata as a tool of creativity and it persuades scientists to convert their research results into the works of art. The book is lavishly illustrated with visually attractive examples, presented in a lively and easily accessible manner.



Theory And Practice Of Natural Computing


Theory And Practice Of Natural Computing
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Author : Carlos Martín-Vide
language : en
Publisher: Springer Nature
Release Date : 2019-11-22

Theory And Practice Of Natural Computing written by Carlos Martín-Vide and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-22 with Computers categories.


This book constitutes the refereed proceedings of the 8th International Conference on Theory and Practice of Natural Computing, TPNC 2019, held in Kingston, ON, Canada, in December 2019. The 15 full papers presented in this book, together with two invited talk, were carefully reviewed and selected from 38 submissions. The papers are organized in topical sections named: Applications of Natural Computing; Evolutionary Computation; Genetic Algorithms, Swarm Intelligence, and Heuristics; Quantum Computing and Information.



Cellular Automata


Cellular Automata
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Author : Andrew Ilachinski
language : en
Publisher: World Scientific
Release Date : 2001

Cellular Automata written by Andrew Ilachinski and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Technology & Engineering categories.


Cellular automata are a class of spatially and temporally discrete mathematical systems characterized by local interaction and synchronous dynamical evolution. Introduced by the mathematician John von Neumann in the 1950s as simple models of biological self-reproduction, they are prototypical models for complex systems and processes consisting of a large number of simple, homogeneous, locally interacting components. Cellular automata have been the focus of great attention over the years because of their ability to generate a rich spectrum of very complex patterns of behavior out of sets of relatively simple underlying rules. Moreover, they appear to capture many essential features of complex self-organizing cooperative behavior observed in real systems.This book provides a summary of the basic properties of cellular automata, and explores in depth many important cellular-automata-related research areas, including artificial life, chaos, emergence, fractals, nonlinear dynamics, and self-organization. It also presents a broad review of the speculative proposition that cellular automata may eventually prove to be theoretical harbingers of a fundamentally new information-based, discrete physics. Designed to be accessible at the junior/senior undergraduate level and above, the book will be of interest to all students, researchers, and professionals wanting to learn about order, chaos, and the emergence of complexity. It contains an extensive bibliography and provides a listing of cellular automata resources available on the World Wide Web.



Cellular Automata


Cellular Automata
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Author : Alejandro Salcido
language : en
Publisher: BoD – Books on Demand
Release Date : 2011-04-11

Cellular Automata written by Alejandro Salcido and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-11 with Computers categories.


Cellular automata make up a class of completely discrete dynamical systems, which have became a core subject in the sciences of complexity due to their conceptual simplicity, easiness of implementation for computer simulation, and their ability to exhibit a wide variety of amazingly complex behavior. The feature of simplicity behind complexity of cellular automata has attracted the researchers' attention from a wide range of divergent fields of study of science, which extend from the exact disciplines of mathematical physics up to the social ones, and beyond. Numerous complex systems containing many discrete elements with local interactions have been and are being conveniently modelled as cellular automata. In this book, the versatility of cellular automata as models for a wide diversity of complex systems is underlined through the study of a number of outstanding problems using these innovative techniques for modelling and simulation.



Cellular Automata And Groups


Cellular Automata And Groups
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Author : Tullio Ceccherini-Silberstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-24

Cellular Automata And Groups written by Tullio Ceccherini-Silberstein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-24 with Computers categories.


Cellular automata were introduced in the first half of the last century by John von Neumann who used them as theoretical models for self-reproducing machines. The authors present a self-contained exposition of the theory of cellular automata on groups and explore its deep connections with recent developments in geometric group theory, symbolic dynamics, and other branches of mathematics and theoretical computer science. The topics treated include in particular the Garden of Eden theorem for amenable groups, and the Gromov-Weiss surjunctivity theorem as well as the solution of the Kaplansky conjecture on the stable finiteness of group rings for sofic groups. The volume is entirely self-contained, with 10 appendices and more than 300 exercises, and appeals to a large audience including specialists as well as newcomers in the field. It provides a comprehensive account of recent progress in the theory of cellular automata based on the interplay between amenability, geometric and combinatorial group theory, symbolic dynamics and the algebraic theory of group rings which are treated here for the first time in book form.